Answer:
Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,
P(x) = R(x) - C(x)
If we are to substitute the given expression for each of the terms, we have,
P(x) = x(S(x)) - C(x)
Substituting,
P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)
Simplifying,
P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120
Combining like terms,
P(x) = -0.15x³ - 0.02x² + 28x - 120
The answer to this item is the second among the choice, number 2.
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Step-by-step explanation:
Final answer:
To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².
Explanation:
To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.
When you add these two functions, you get:
C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.
Which equation has the coordinate (0, 2) as a point on its graph?
Oy=x-2
Oy = x + 2
Oy=2
Oy = 2x
Answer:
0y=x+2
Step-by-step explanation:
The correct equation which has the coordinate (0, 2) as a point on its graph is,
⇒ y = x + 2
⇒ y = 2
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
the coordinate (0, 2) as a point on its graph.
Hence, The correct graph is satisfy the equation of line.
So, We can check as;
y = x - 2
2 = 0 - 2
2 ≠ - 2
y = x + 2
2 = 0 + 2
2 = 2
y = 2
2 = 2
y = 2x
y = 2 (0)
y = 0
Thus, The correct equation which has the coordinate (0, 2) as a point on its graph is,
⇒ y = x + 2
⇒ y = 2
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The volume of a can of chicken broth that had a diameter of 7.5 Centimeters and a heighten 11 centimeters. Round to the nearest tenth
Write the equation of a line that is parallel to y=-7 and that passes through the point 7,5)
Answer:
y = 5
Step-by-step explanation:
Let y = mx + b (1) is the equation of a line we need to find
As we know, it is parallel to y= -7 (with the slope is 0)
However, the slopes of parallel lines are equal
=> the slope of (1) is 0
<=> y = b
And that passes through the point (7,5), we have:
5 = b
=> the equation of a line as the answer of this problem is:
y = 5
Hope it will find you well.
The Stegosaurus dinosaur weighed about 2000 kilograms. The weight of his brain was only 0.004% of the weight of his body. How much did the Stegosaurus brain weigh?
Answer:0.08 kilograms
Step-by-step explanation:
f(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
Find the value of X! :)
Answer:
C. 98
Step-by-step explanation:
122 - 24 = 98
What is the equation of the line that passes through (0, 3) and (7,0)?
A.y =3/7x-3
B.y=3/7x+3
C.y=-3/7x+3
D.y=-3/7x-3
Answer:
y = -3/7x + 3
Step-by-step explanation:
Use the slope formula to find the slope which is -3/7
Then use one of the pairs of points and plug in the x and y values along with the slope to find b
What is the area of a circle with a radius of 20 inches ?
The area of a circle with a radius of 20 inches is 400π square inches, which is approximately 1256.64 square inches.
Explanation:The formula for finding the area of a circle is A = πr², where A is the area and r is the radius of the circle.
Given that the radius of the circle is 20 inches, we can substitute this value into the formula to find the area.
So, the area of the circle with a radius of 20 inches is A = π(20 inches)² = 400π square inches, which is approximately 1256.64 square inches.
Tina brought four more than one-half of the number of t-shirts as Maria. If Tina brought
eleven shirts, how many did Maria bring?
1 shirt
2 shirts
9 shirts
14 shirts
Answer:
14 shirts
Step-by-step explanation:
11-4= 7
7 times 2 = 14
Answer:
14 shirts
Step-by-step explanation:
Four less of eleven is 7. 7 is one half of the number of shirts Maria brought, then you do 7+7=14. Hope this helps!
Identify the median for the data summarized on the boxplot.
A) 17.5
B) 21
C) 23.5
D) 35
Answer:
a.17.5
Step-by-step explanation:
Answer:
C. 23.5
Step-by-step explanation:
The median is the line in the middle of the inside of the box.
If we locate the line in the middle of the box, we can see that it is above the number 23.5.
Therefore, the median of this box plot is 23.5 and the correct answer is choice C.
Which simplified fraction is equal to 0.5ModifyingAbove 3 with bar? StartFraction 24 Over 45 EndFraction StartFraction 8 Over 15 EndFraction StartFraction 48 Over 90 EndFraction StartFraction 5 Over 9 EndFraction
Answer:
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
We want to represent 0.5333... as a fraction. Let's call x that fraction:
x = 0.5333
Then,
10x = 5.3333
100x = 53.333
100x - 10x = 53.333 - 5.3333
90x = 48
x = 48/90
dividing numerator and denominator by 6, we get:
(48/6) / (90/6) =8/15
Answer:
The simplified fraction is 1/8
The correct option is;
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
Here, we are given the simplified fraction result as [tex]0.5\bar3[/tex] which is the same as [tex]\frac{1}{2}+\frac{1}{30} =\frac{15+1}{30} =\frac{16}{30} =\frac{8}{15}[/tex]0.53333......
Therefore, to find the simplified fraction, we split the resultant value into the component parts as follows;
[tex]0.5\bar3[/tex] = 0.5 + 0.0[tex]\bar3[/tex]
We observe that the above equation is the same as [tex]\frac{1}{2}+\frac{1}{30}[/tex]
Hence, we simplify [tex]\frac{1}{2}+\frac{1}{30}[/tex] to arrive at
Therefore, the simplified fraction = 1/8.
Rewrite the function by completing the square.
f(x)=x^2+8x−29
f(x)=(x+__)^2+__
Answer:
(x + 4)² - 45
Step-by-step explanation:
Given
x² + 8x - 29
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 - 29
= (x + 4)² - 45
The resulting function by completing the square is f(x) = (x+ 4)² - 45
Given the function
f(x) = x² + 8x - 29
The function can also be grouped like this:
f(x) = (x² + 8x) - 29
Completing the square of the function in parenthesis
f(x) = (x² + 8x) - 29
To do that, we will add the square of the half of the coefficient of x:
Coefficient of x = 8
half of Coefficient of x = 8/2 = 4
Squaring the result = 4² = 16
The function will then become:
f(x) = (x² + 8x + 16 - 16) - 29
f(x) = (x² + 8x + 16) - 16 - 29
f(x) = (x² + 8x + 16) - 45
Factorizing the function in bracket:
f(x) = (x+ 4)² - 45
Hence the resulting function by completing the square is f(x) = (x+ 4)² - 45
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Whtas is 10 to the 10 millionth power
Answer:
100,000,000
Step-by-step explanation:
Answer:
[tex]10^{1000000}[/tex]
Step-by-step explanation:
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
Answer:
1. B 2. B
Step-by-step explanation:
1. The formula for circumference is C= pi times diameter
Radius is half of diameter, so you'd multiply 14 times 2 which gives you 28. Since it's asking for it in pi, it'll be 28 pi.
2. I think instead of circumference, it's asking for area because if it was asking for circumference the answer would have been 6.6 pi, but that answer isn't there. So if it's asking for area, the formula is A= pi(r²) They gave the diameter instead. Remember, the radius is half of the diameter, so in order to get the radius, you'd divide 6.6 by 2 and get 3.3. Then, multiply 3.3 with the number itself, and you'll get 10.89.
Hope this helps!
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
these would be both B
B. 28 pi in
B. 10.89 pi m^2
Which choice is correct about angle RWL
Answer:
C. 50
Step-by-step explanation: The measure of angle RWL is 50°. It is an acute angle.
Hopefully yo had this question.
Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium?
a. 100
b. 70
c. 40
d. There is not enough information given to determine the point of equilibrium.
Answer:
70 Forsure E2020
Step-by-step explanation:
The coordinates of the point of equilibrium are (-60, 110).
What is demand graph?A demand curve is graph that shows the relationship between the price of a good or service and the quantity demanded within a specified time frame.
Mathematically, we can write demand curve equation as -
Q = a - bP
where -
Q = linear demand curve
a = factors influencing demand besides price
b = slope
P = price
Given is to find the price at the point of equilibrium.
Equation for supply curve -
y = mx + c
y = {(25 - 20)/(10 - 0)}x + c
y = x/2 + 20
Equation for demand curve -
y = mx + c
y = {(10 - 20)/(40 - 30)}x + c
y = - x + 50
Point of equilibrium -
The point where demand equals to supply. We can write -
x/2 + 20 = - x + 50
x/2 - x = 30
- x/2 = 30
x = - 60
then -
y = 60 + 50
y = 110
Therefore, the coordinates of the point of equilibrium are (-60, 110).
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The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs
of the triangle? Select three options.
0,5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x - 24 = 0
x2 + 2x - 48 = 0
x2 + (x + 2)2 = 100
Answer:
A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100
Step-by-step explanation:
A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.
E, on the other hand, uses the Pythagorean theorem to solve for both legs.
how much bigger is the area of a pizza with a diameter of 18 inches than the area of a pizza with a diameter of 10 inches
Answer:
approximately 3.24 times greater
Step-by-step explanation:
The formula for the area of a circle of radius r is A = πr². Because we are given the diameter here (not the radius), we substitute d/2 for r in the above formula, obtaining:
A = π(d/2)²
Case 1: A = π [18 in / 2]² = π(9 in)² = 81π in²
Case 2: A = π[10 in/2]² = π[5 in]² = 25π in²
Dividing 81π in² by 25π in² gives us the desired result:
The area of the larger pizza is 81/25 times the area of the smaller one, or approximately 3.24 times greater.
What is the solution to h over negative 24 less-than-or-equal-to 18?
h greater-than-or-equal-to 432
h less-than-or-equal-to 432
h less-than-or-equal-to negative 432
h greater-than-or-equal-to negative 432
Answer:
the answer is the last one.
Step-by-step explanation:
First we multiply both sides of the inequality by -24 to isolate the variable.
Then, since we are multiplying with a negative number, the inequality sign flips.
All we do next is calculate.
Step by step we have
[tex] \frac{h}{ - 24} \leqslant 18 \\ - 24 \times \frac{h}{ - 24} \geqslant - 24 \times 18 \\ h \geqslant - 432[/tex]
Answer:
d
Step-by-step explanation:
i took quiz on edg 2020
PLZZ HELP!
Find the volume of a right rectangular prism with a length of 3, a width of 5, and a height of 6.
A. 14 cubic units
B. 21 cubic units
C. 90 cubic units
D. 196 cubic units
Answer:
C
Step-by-step explanation:
The formula for the volume of a rectangular prism is lwh. In this case, 3*5*6=90 cubic units, or option C. Hope this helps!
A kite is divided into two triangles. Each triangle has a base of 16 in. and a height of 10 in.
What is the area of the kite?
Thank you in advance, and stay safe!
Answer:
160
Step-by-step explanation:
If thats not the answer then its 320
Alan found 20 quadrilaterals in his classroom. He made a Venn Diagram using the properties of the quadrilaterals, comparing those with four equal side lengths, E, and those with four right angles, R. Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths?
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Which sale gives the greatest percent discount
Answer:
A 100% sale would be the greatest discount
Step-by-step explanation:
100% off would cost $0. The highest percent off would be the greatest or the highest amount of dollars off.
if this helped please hit thanks button + rate <3
Answer:
Original price reduced by 30%.
what is the maximum height for -16t^2+96t+63
Answer:
h(3) = 207 feet
Step-by-step explanation:
what is the maximum height for -16t^2+96t+63
h(t) = -16t^2+96t+63
We see max height at the vertex of this parabolic function
x = -96/2*(-16) = 3 seconds
h(3) = -16*3*3 + 96*3 + 63
h(3) = -144 + 288 + 63
h(3) = 207 feet
A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct the student’s error.
Answer:
[tex] -3 +2y \leq 4x[/tex]
[tex] 2y \leq 4x+3[/tex]
[tex] y \leq 2x + \frac{3}{2}[/tex]
And that's different from the claim of the student that:
[tex] y \geq 2x +\frac{3}{2}[/tex]
The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1
Step-by-step explanation:
For this case we have the following inequality:
[tex] -3 +2y \leq 4x[/tex]
We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:
[tex] 2y \leq 4x+3[/tex]
Now we can divide both sides of the inequality by 2 and we got:
[tex] y \leq 2x + \frac{3}{2}[/tex]
And that's different from the claim of the student that:
[tex] y \geq 2x +\frac{3}{2}[/tex]
The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1
QUESTION 24 • 5 POINTS
Audrey can hike 6 miles on a trail in the same time that she can ride her bike 25 miles on a road. Her hiking speed is 9 miles
per hour slower than her riding speed. Find her riding speed. Round to the nearest tenth.
Answer:
Her riding speed is "11.84 mph".
Step-by-step explanation:
In order to solve this problem we will say that Audrey's riding speed is equal to "x" mph. Since her hiking speed is 9 mph less than her riding speed, then it is "x -9" mph. The average speed formula is given by:
speed = distance/time
Thefore the time to travel a certain distance with a certain speed is:
time = distance/speed
Her time to hike 6 miles is the same as her time to ride 25 miles, therefore:
ride time = hike time
25/x = 6/(x - 9)
25(x-9) = 6x
25x -225 = 6x
19x = 225
x = 225/19 = 11.84 mph
Her riding speed is "11.84 mph".
Which of these statements is true?
Answer:
any translation can be replaced by a rotation
The following prime factorization of which composite number?
2 to the 2nd power, 3 to the 2nd power, 5.
20. 60. 120. 180.
Answer: none of them
Step-by-step explanation:
heLp me please ಥ╭╮ಥ
Answer:
The answer is c. 242 ft^2
Step-by-step explanation:
i JUST TOOK THE TEST AND THIS WAS THE ANSWER!
Answer:
We must calculate the length of the "slope"
Hypotenuse^2 = 11^2 + 4^2
Hypotenuse^2 = 121 + 16
Hypotenuse^2 = 137
Hypotenuse = 11.7
Area of "slope" surface = 11.7 * 6 = 70.2 sq feet
Area of Base = 6 *4 = 24 sq feet
Area of rear side = 6 * 11 = 66 sq feet
Area of both sides = 44 sq feet
Total area = 70.2 + 24 + 66 + 44 = I get 204.2 which is NOT any of the choices.
****************************************************
Geez, I recalculated everything and still got the same answer. Any idea where I went wrong?
Step-by-step explanation:
Coordinates please answer correctly I am counting on you!!! ❤️❤️❤️
Answer:
what is the first question i need to see the first question before giving you the answer
Step-by-step explanation:
or question 4